51759 has 14 divisors (see below), whose sum is σ = 78696. Its totient is φ = 34020.

The previous prime is 51749. The next prime is 51767. The reversal of 51759 is 95715.

Subtracting 51759 from its reverse (95715), we obtain a triangular number (43956 = T_{296}).

It can be divided in two parts, 5175 and 9, that added together give a square (5184 = 72^{2}).

It is not a de Polignac number, because 51759 - 2^{7} = 51631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

51759 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 51759.

It is not an unprimeable number, because it can be changed into a prime (51719) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 694 + ... + 764.

51759 is a Friedman number, since it can be written as 5751*9, using all its digits and the basic arithmetic operations.

2^{51759} is an apocalyptic number.

51759 is a deficient number, since it is larger than the sum of its proper divisors (26937).

51759 is an frugal number, since it uses more digits than its factorization.

51759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 51759 is about 227.5060438758. The cubic root of 51759 is about 37.2673597448.

The spelling of 51759 in words is "fifty-one thousand, seven hundred fifty-nine".

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